- Irish Quantum Foundations Meeting (IQF2015), May 27^{th}-29^{th}, 2015 (with a grant from SFI, lead applicant).
- Dublin Area Workshop on Nanoscience and Low Dimensional Quantum Matter, November 10^{th}-12^{th}, 2014 (with a grant from SFI, co-applicant).
I am a mathematician working on the interface of physics and mathematics. I graduated in mathematics and hold a PhD in both disciplines.
My research is dedicated to an improved mathematical understanding of quantum field theory.
At present I am working on an ab initio mathematical mastery of rational conformal field theories (CFTs) on higher genus Riemann surfaces. My approach avoids the usual difficulties encountered in the analysis of infinite dimensional spaces. This is possible since the fundamental object of any CFT is the partition function, which in the case of rational CFTs is expected to be an algebraic object. More immediately, it has modular properties and satisfies ordinary differential equations of Gauss-Manin type. For an important class of CFTs the partition functions are known modular functions. Due to their origin in CFT, they have natural generalisations to higher genus, a fact which is new to mathematics. Explicit results have been obtained for the higher genus generalisation of the famous Rogers-Ramanujan functions.